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Finding the Third Proportional to 92,112 and 198,752

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Solution

The third proportional to 92,112 and 198,752 is: 428,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,112 : 198,752 = 198,752 : x
  2. Step 2: Convert to fraction form
    92,112/198,752 = 198,752/x
  3. Step 3: Cross multiply
    92,112x = 198,752 × 198,752
  4. Step 4: Simplify right side
    92,112x = 39,502,357,504
  5. Step 5: Solve for x
    x = 39,502,357,504/92,112
  6. Step 6: Final answer
    x = 428,851.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.